Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 729, 269, 73, 669 i.e. 1 largest integer that divides all the numbers equally.
GCD of 729, 269, 73, 669 is 1
GCD(729, 269, 73, 669) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 729, 269, 73, 669 is 1
GCD(729, 269, 73, 669) = 1
Given Input numbers are 729, 269, 73, 669
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Divisors of 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 669
List of positive integer divisors of 669 that divides 669 without a remainder.
1, 3, 223, 669
Greatest Common Divisior
We found the divisors of 729, 269, 73, 669 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 269, 73, 669 is 1.
Therefore, GCD of numbers 729, 269, 73, 669 is 1
Given Input Data is 729, 269, 73, 669
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 269 is 269
Prime Factorization of 73 is 73
Prime Factorization of 669 is 3 x 223
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(729, 269) = 196101
GCD(729, 269) = ( 729 x 269 ) / 196101
GCD(729, 269) = 196101 / 196101
GCD(729, 269) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 73) = 73
GCD(1, 73) = ( 1 x 73 ) / 73
GCD(1, 73) = 73 / 73
GCD(1, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 669
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 669) = 669
GCD(1, 669) = ( 1 x 669 ) / 669
GCD(1, 669) = 669 / 669
GCD(1, 669) = 1
GCD of 729, 269, 73, 669 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 729, 269, 73, 669?
GCD of 729, 269, 73, 669 is 1
2. Where do I get the detailed procedure to find GCD of 729, 269, 73, 669?
You can find a detailed procedure to find GCD of 729, 269, 73, 669 on our page.
3. How to find GCD of 729, 269, 73, 669 on a calculator?
You can find the GCD of 729, 269, 73, 669 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.